What is Error and its types?

Error :

Deviation from the exact or true value is known as an error.

Taxonomy of error

1. Inherent Errors:

Error that is already present in the statement of problem. These error arises due to limitation of mathematical table or digital computers.

  • Data Errors: These errors arise when the data for a problem is taken from an experiment and are therefore of limited accuracy.
  • Conversion Errors: These errors arise due to the limitation of the computer to store data.

2.Numerical Errors:

Errors that are introduced during the process of implementation of numerical method.

  • Roundoff Errors: These errors are due to the limitation of computer to store data, as error arise when fixed number of digits are used to represent exact number.
  • Truncation Errors: Here extra digits are dropped which introduced truncation error. Example : value of pi, ex etc.

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